Britney SpearsHow Cool is aLifetime Conservatorship?

8/24/2012 12:30 PM PDT BY TMZ STAFF

EXCLUSIVE

Our photog had a chance to fire off one question to Britney Spears as she strolled through The Grove Friday -- so of course we wanted to know if she was "cool" with having a conservator for the rest of her life.

Britney and her fiance-conservator Jason Trawick were leaving Planet Dailies restaurant at the time and Brit's reaction is priceless ... as is the way our photog tried to butter her up before asking the question.

TMZ broke the story Thursday ... the reason the conservatorship has lasted 4 1/2 years -- with no end in sight -- is because she has a medical condition that affects her decision-making process.